Question

Solve

8x^2+5=35

Round to the nearest hundredth.

The solutions are

___ and ___

Thanks! I need help with this one.

Answer 1

`8 {x}^(2) + 5 = 35`

`{8x}^(2) = 30`

`{x}^(2) = 3 (3)/(4)`

`x = ( √(3.75) ) \: \: \: \: \: x = - ( √(3.75) )`

`x = 1.94 \: \: \: \: x = - 1.94`

Answer 2

The solutions are
`1.94` and
`-1.94`

Explanation:

we have

`8x^(2) +5=35`

Solve for x

Subtract
`5` both sides

`8x^(2) +5-5=35-5`

`8x^(2)=30`

Divide by
`8` both sides

`8x^(2)/8=30/8`

`x^(2)=15/4`

Take square root both sides

`x=(+/-)\sqrt{(15)/(4)} \\ \\x1=(√(15))/(2)=1.94\\ \\x2=-(√(15))/(2)=-1.94`

The solutions are
`1.94` and
`-1.94`